计算物理 ›› 2009, Vol. 26 ›› Issue (5): 703-711.

• 研究论文 • 上一篇    下一篇

对流扩散问题的高精度交替组分八点格式

张守慧1,2, 王文洽1   

  1. 1. 山东大学数学学院, 山东 济南 250100;
    2. 济南大学理学院, 山东 济南 250022
  • 收稿日期:2008-05-12 修回日期:2008-10-20 出版日期:2009-09-25 发布日期:2009-09-25
  • 作者简介:张守慧(1978-),female,Shandong,PhD,Numerical methods for partial differential equations.
  • 基金资助:
    Supported by NSF of China(10671113)

High-order Accurate Alternating Group 8-point Scheme for Convection Diffusion Problems

ZHANG Shouhui1,2, WANG Wenqia1   

  1. 1. School of Mathematics, Shandong University, Jinan 250100, China;
    2. School of Science, Jinan University, Jinan 250022, China
  • Received:2008-05-12 Revised:2008-10-20 Online:2009-09-25 Published:2009-09-25
  • Supported by:
    Supported by NSF of China(10671113)

摘要: 给出对流扩散方程的一种高精度交替分组8点格式,可以用于并行计算,且无条件稳定.数值实验证实此格式具有高阶精度.

关键词: 交替分组格式, 对流扩散问题, 并行算法

Abstract: A high accurate alternating group 8-point scheme for convection diffusion problems is given. It can be used for parallel computing and is proved unconditionally stable. Numerical experiments show that the scheme has high accuracy.

Key words: alternating group scheme, convection diffusion problem, parallel algorithm

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